Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-6 Ratios, Rates, and Conversions - Mixed Review - Page 123: 48


$h=5$ cm

Work Step by Step

We use the formula for area of a triangle: $A=\frac{bh}{2}$ Since we are looking for height, we must solve for height. The first step in doing this is multiplying both sides of the equation by $2$: $2\times A=2\times\frac{bh}{2}$ $2A=bh$ Now, we must divide by $b$ on both sides to isolate $h$: $\frac{2A}{b}=h$ Now, we can plug in the values for $A$ and $b$: $h=\frac{2(30)}{12}$ Next, we follow the order of operations to simplify: First, we simplify above the fraction bar by multiplying: $h=\frac{60}{12}$ Finally, we divide: $h=5$ cm
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